Globally stable cylinders for hyperbolic CAT(0) cube complexes

被引：0

作者：

Lazarovich, Nir ^{[1
]}

Sageev, Michah ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

GROUPS GEOMETRY AND DYNAMICS | 2024年 / 18卷 / 01期

基金：

以色列科学基金会;

关键词：

CAT(0) cube complexes; hyperbolic groups;

D O I：

10.4171/GGD/744

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Rips and Sela (1995) introduced the notion of globally stable cylinders and asked if all Gromov hyperbolic groups admit such. We prove that hyperbolic cubulated groups admit globally stable cylinders.

引用

页码：203 / 211

页数：9

共 50 条

[1] Hyperbolicities in CAT(0) cube complexes
Genevois, Anthony
ENSEIGNEMENT MATHEMATIQUE, 2019, 65 (1-2): : 33 - 100
[2] Property A and CAT(0) cube complexes
Brodzki, J.
Campbell, S. J.
Guentner, E.
Niblo, G. A.
Wright, N. J.
JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (05) : 1408 - 1431
[3] Non-hyperbolic automatic groups and groups acting on CAT(0) cube complexes
Nakagawa, Yoshiyuki
Tamura, Makoto
Yamashita, Yasushi
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2014, 24 (06) : 795 - 813
[4] On regular CAT(0) cube complexes and the simplicity of automorphism groups of rank-one CAT(0) cube complexes
Lazarovich, Nir
COMMENTARII MATHEMATICI HELVETICI, 2018, 93 (01) : 33 - 54
[5] Boundary rigidity of CAT(0) cube complexes
Chalopin, Jeremie
Chepoi, Victor
JOURNAL OF COMBINATORIAL THEORY SERIES B, 2024, 169 : 352 - 366
[6] Periodic flats in CAT(0) cube complexes
Sageev, Michah
Wise, Daniel T.
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2011, 11 (03): : 1793 - 1820
[7] Rank Rigidity for Cat(0) Cube Complexes
Pierre-Emmanuel Caprace
Michah Sageev
Geometric and Functional Analysis , 2011, 21 : 851 - 891
[8] Ping Pong on CAT(0) cube complexes
Kar, Aditi
Sageev, Michah
COMMENTARII MATHEMATICI HELVETICI, 2016, 91 (03) : 543 - 561
[9] CAT(0) CUBE COMPLEXES WITH FLAT HYPERPLANES
Genevois, Anthony
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (07) : 2749 - 2757
[10] Rank Rigidity for Cat(0) Cube Complexes
Caprace, Pierre-Emmanuel
Sageev, Michah
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2011, 21 (04) : 851 - 891

← 1 2 3 4 5 →